Area Method

294 ÷ 14

Getting ready to divide using an area model

294 ÷ 14

Look at the division problem.

The divisor, 14, can be divided into the first two digits of the dividend, 29, since you can get groups of 14 out of 29.

Use the base 10 number to start dividing.

294 ÷ 14

divisordividend

Start a work space to multiply the divisor, 14, by multiples of ten until a product is close to 294◦You get 14 x 100 = 140.

Get ready to set up the area model.

294 ÷ 14

Draw a rectangle, and write the 140 from your work space inside the rectangle.

Set up the area model.

294 ÷ 14

14014

10

Start a workspace subtracting the number in the rectangle from the dividend, 294 - 140.

Keep a subtracting record of the dividing.

294 ÷ 14

14014

x 10

Subtracting workspace ______________

)294 - 14 0 154

You see that 14 x 10 = 140 is less than 154.

You’ll have to multiply 14 times 10 again.

294 ÷ 14

Multiply 14 times 10 to get 140.You are left with 14.

Divide the difference by the divisor

294 ÷ 14

14014x

10

Subtractingworkspace _______________

)294 - 14 0 154 - 140 14

14010

You must figure out how many times 14 goes into 14. The answer is 1 so we add that to our area model.

Divide the difference by the divisor

294 ÷ 14

14014x

10

Subtractingworkspace _______________

)294 - 14 0 154 - 140 14 - 14 0 140

10

14

1

You find the quotient to the problem by adding the numbers on top. The answer is 21

Answer

294 ÷ 14

14014x

10

Subtractingworkspace _______________

)294 - 14 0 154 - 140 14 - 14 0 140

10

14

1+ + = 21